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KatRina [158]
3 years ago
5

Write the equation of the line, in slope-intercept form, through the

Mathematics
2 answers:
ZanzabumX [31]3 years ago
6 0

Answer:

y=6*x+101

Step-by-step explanation:

Slope intercept form is y=mx+n, where m is the slope and n is the intercept.

Substituing in that equation the two points we get two different expressions. Now we have to solve a 2x2 system of equations.

I decide to solve it through substraction (literally one expression minus the other). That way we cancel out the n and obtain the value of m.

Now that we have m we plug in the value of m in one of the expressions to obtain the value of n.

To express the final equation we just plug in the values of m and n in the expression y=mx+n!

ivanzaharov [21]3 years ago
5 0

Answer:

y=6*x+101

Step-by-step explanation:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Hope this will helps

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pentagon [3]

Answer:

The length of the track is approximately 51.7 ft

The track has three sides of the square and the distance round a half of a complete circle

Step-by-step explanation:

The given track shape and measurements are;

The shape on the left side of the track  = Square

The shape on the right side of the track  = Half circle

The area of the square on the the left side of the track  = 128 square feet

Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;

Area of the square portion of the track = s × s = s² = 128 ft²

Therefore, s = √(128 ft²) = 8·√(2) ft.

Whereby the side length of the square is bounded by the diameter of the half circle, we have;

Length of the diameter of the half circle = s = 8·√(2) ft.

The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.

The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.

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The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft

The length of the track ≈ 51.7 ft

Which gives;

The track has three sides of the square and the distance round a half of a complete circle.

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